TSTP Solution File: RNG026-7 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG026-7 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 14:03:05 EDT 2024
% Result : Unsatisfiable 30.91s 4.63s
% Output : CNFRefutation 30.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 9 RR)
% Number of literals : 22 ( 21 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 26 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product2) ).
cnf(c_56,negated_conjecture,
add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_teichmuller_identity) ).
cnf(c_57,plain,
add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).
cnf(c_58,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_identity) ).
cnf(c_60,plain,
multiply(X0,additive_identity) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_multiplicative_zero) ).
cnf(c_61,plain,
add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_inverse) ).
cnf(c_64,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute1) ).
cnf(c_65,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute2) ).
cnf(c_66,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',commutativity_for_addition) ).
cnf(c_67,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associativity_for_addition) ).
cnf(c_70,plain,
add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = associator(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associator) ).
cnf(c_231,plain,
add(X0,additive_inverse(X0)) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_61,c_67,c_66]) ).
cnf(c_235,plain,
add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,additive_inverse(X2)))) = associator(X0,X1,X2),
inference(demodulation,[status(thm)],[c_70,c_51]) ).
cnf(c_236,plain,
add(multiply(multiply(a,b),multiply(c,d)),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(multiply(multiply(multiply(a,b),c),d),add(multiply(multiply(a,b),multiply(c,additive_inverse(d))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(multiply(a,multiply(multiply(b,c),additive_inverse(d))),add(multiply(add(multiply(multiply(a,b),c),multiply(a,multiply(b,additive_inverse(c)))),d),multiply(a,add(multiply(multiply(b,c),d),multiply(b,multiply(c,additive_inverse(d))))))))))))) != additive_identity,
inference(demodulation,[status(thm)],[c_56,c_51,c_66,c_67,c_235]) ).
cnf(c_237,plain,
add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(multiply(multiply(a,b),multiply(c,additive_inverse(d))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(multiply(add(multiply(multiply(a,b),c),multiply(a,multiply(b,additive_inverse(c)))),d),add(multiply(a,multiply(multiply(b,c),additive_inverse(d))),multiply(a,add(multiply(multiply(b,c),d),multiply(b,multiply(c,additive_inverse(d))))))))))))) != additive_identity,
inference(theory_normalisation,[status(thm)],[c_236,c_67,c_66]) ).
cnf(c_238,plain,
add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(multiply(add(multiply(multiply(a,b),c),multiply(a,multiply(b,additive_inverse(c)))),d),multiply(a,add(add(multiply(multiply(b,c),d),multiply(b,multiply(c,additive_inverse(d)))),multiply(multiply(b,c),additive_inverse(d))))))),multiply(multiply(a,b),add(multiply(c,additive_inverse(d)),multiply(c,d)))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_237,c_64,c_64,c_67,c_66]) ).
cnf(c_239,plain,
add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(additive_inverse(add(multiply(a,add(multiply(b,multiply(c,additive_inverse(d))),multiply(multiply(b,c),add(additive_inverse(d),d)))),multiply(add(add(multiply(multiply(a,b),c),multiply(a,multiply(b,additive_inverse(c)))),multiply(a,multiply(b,c))),d))),multiply(multiply(a,b),multiply(c,add(additive_inverse(d),d)))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_238,c_64,c_65,c_64,c_67,c_66]) ).
cnf(c_240,plain,
add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(additive_inverse(add(multiply(a,add(multiply(b,multiply(c,additive_inverse(d))),multiply(multiply(b,c),add(additive_inverse(d),d)))),multiply(add(multiply(multiply(a,b),c),multiply(a,add(multiply(b,additive_inverse(c)),multiply(b,c)))),d))),multiply(multiply(a,b),multiply(c,add(additive_inverse(d),d)))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_239,c_64,c_67,c_66]) ).
cnf(c_241,plain,
add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(additive_inverse(add(multiply(a,add(multiply(b,multiply(c,additive_inverse(d))),multiply(multiply(b,c),add(additive_inverse(d),d)))),multiply(add(multiply(multiply(a,b),c),multiply(a,multiply(b,add(additive_inverse(c),c)))),d))),multiply(multiply(a,b),multiply(c,add(additive_inverse(d),d)))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_240,c_64,c_67,c_66]) ).
cnf(c_242,plain,
add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),multiply(a,multiply(b,multiply(c,additive_inverse(d)))))))) != additive_identity,
inference(demodulation,[status(thm)],[c_241,c_57,c_58,c_60,c_231,c_66]) ).
cnf(c_344,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_231,c_67]) ).
cnf(c_1539,plain,
$false,
inference(superposition,[status(thm)],[c_344,c_242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG026-7 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n016.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Jun 18 13:26:09 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.44 Running UEQ theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 30.91/4.63 % SZS status Started for theBenchmark.p
% 30.91/4.63 % SZS status Unsatisfiable for theBenchmark.p
% 30.91/4.63
% 30.91/4.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 30.91/4.63
% 30.91/4.63 ------ iProver source info
% 30.91/4.63
% 30.91/4.63 git: date: 2024-06-12 09:56:46 +0000
% 30.91/4.63 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 30.91/4.63 git: non_committed_changes: false
% 30.91/4.63
% 30.91/4.63 ------ Parsing...successful
% 30.91/4.63
% 30.91/4.63
% 30.91/4.63
% 30.91/4.63 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 30.91/4.63
% 30.91/4.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 30.91/4.63
% 30.91/4.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 30.91/4.63 ------ Proving...
% 30.91/4.63 ------ Problem Properties
% 30.91/4.63
% 30.91/4.63
% 30.91/4.63 clauses 23
% 30.91/4.63 conjectures 1
% 30.91/4.63 EPR 0
% 30.91/4.63 Horn 23
% 30.91/4.63 unary 23
% 30.91/4.63 binary 0
% 30.91/4.63 lits 23
% 30.91/4.63 lits eq 23
% 30.91/4.63 fd_pure 0
% 30.91/4.63 fd_pseudo 0
% 30.91/4.63 fd_cond 0
% 30.91/4.63 fd_pseudo_cond 0
% 30.91/4.63 AC symbols 1
% 30.91/4.63
% 30.91/4.63 ------ Input Options Time Limit: Unbounded
% 30.91/4.63
% 30.91/4.63
% 30.91/4.63 ------
% 30.91/4.63 Current options:
% 30.91/4.63 ------
% 30.91/4.63
% 30.91/4.63
% 30.91/4.63
% 30.91/4.63
% 30.91/4.63 ------ Proving...
% 30.91/4.63
% 30.91/4.63
% 30.91/4.63 % SZS status Unsatisfiable for theBenchmark.p
% 30.91/4.63
% 30.91/4.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.91/4.63
% 30.91/4.63
%------------------------------------------------------------------------------